• Title/Summary/Keyword: 계산 기하학

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An Analysis of Pattern Activities of a Finding Rules Unit in Government-Authorized Mathematics Curricular Materials for Fourth Graders (4학년 수학 검정 교과용 도서의 규칙 찾기 단원에 제시된 패턴 활동의 지도 방안 분석)

  • Pang, JeongSuk;Lee, Soojin
    • Education of Primary School Mathematics
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    • v.26 no.1
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    • pp.45-63
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    • 2023
  • The activity of finding rules is useful for enhancing the algebraic thinking of elementary school students. This study analyzed the pattern activities of a finding rules unit in 10 different government-authorized mathematics curricular materials for fourth graders aligned to the 2015 revised national mathematics curriculum. The analytic elements included three main activities: (a) activities of analyzing the structure of patterns, (b) activities of finding a specific term by finding a rule, and (c) activities of representing the rule. The three activities were mainly presented regarding growing numeric patterns, growing geometric patterns, and computational patterns. The activities of analyzing the structure of patterns were presented when dealing mainly with growing geometric patterns and focused on finding the number of models constituting the pattern. The activities of finding a specific term by finding a rule were evenly presented across the three patterns and the specific term tended to be close to the terms presented in the given task. The activities of representing the rule usually encouraged students to talk about or write down the rule using their own words. Based on the results of these analyses, this study provides specific implications on how to develop subsequent mathematics curricular materials regarding pattern activities to enhance elementary school students' algebraic thinking.

Developement of GPS Data Quality Control Program (GPS 데이터 품질관리 프로그램의 개발)

  • Yun Hong-Sic;Lee Dong-Ha;Lee Young-Kyun;Cho Jae-Myung
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.1
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    • pp.9-18
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    • 2006
  • This paper describes a new program called GPS_QC needed to check the quality of GPS observations before post-processing so that the surveyors can be improved the precision of GPS data analysis. The GPS_QC was designed to calculate the quality control (QC) parameters such as data gaps, cycle slips, low elevation angle, inonspheric delay, multi-path effects and DOP etc, within the period of GPS observation. It can be used to read and calculate the QC parameters from RINEX files. This program gives users brief statistics, time series plots and graphs of QC parameters. The GPS_QC can simply be performed the quality checking of GPS data that was difficult for surveyors in the field. It is expected that we can be improved the precision of positioning and solved the time consuming problem of GPS observation.

Utilizing Precise Geoid Model for Conversion of Airborne LiDAR Data into Orthometric Height (항공라이다데이터 정표고 변환을 위한 정밀지오이드 모델 이용)

  • Lee, Won-Choon;We, Gwang-Jae;Jung, Tae-Jun;Kwon, Oh-Seob
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.29 no.4
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    • pp.351-357
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    • 2011
  • In this study, we have intended to analyze the possibility of using the precise geoid model and to find the best geoid model for working by the airborne LiDAR system. So we have calculated the geoid height from the precise geoid models (KGEOID08, EGM2008, EIGEN-CG03C) and have analyzed results by comparing the geometric geoid height from surveying and geoid heights from geoid models. As a result, the KGEOID08 that had 0.152m of RMSE was assessed the best geoid model for making DEM(DTM) by airborne LiDAR system. Also we have found the needed arrangement and numbers of reference point when the KGEOID08 was used for conversion into orthometric height of LiDAR data.

Nondestructive Determination of Reinforcement Volume Fractions in Particulate Composites : Eddy Current Method (비파괴적 방법에 의한 입자 강화 복합재료의 부피분율 평가: 와전류법)

  • Jeong, Hyun-Jo
    • Journal of the Korean Society for Nondestructive Testing
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    • v.18 no.2
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    • pp.112-120
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    • 1998
  • A nondestructive evaluation technique was developed for the quantitative determination of the reinforcement volume fractions in particulate reinforced metal matrix composites. The proposed technique employed a composite micromechanics which accounts for the microstructure of the composite medium together with the measurement of anisotropic electrical conductivity. When the measured conductivity was coupled with the theoretically predicted conductivity, the unknown reinforcement volume fraction was calculated. An analytical model based on the Mori-Tanaka method was described which relates the NDE signatures to the composite microstructure. The volume fractions were calculated using eddy current measurements made on a wide range of silicon carbide particulate ($SiC_p$) reinforced aluminum (Al) matrix composites. The calculated $SiC_p$ volume fractions were in good agreement with the measured volume fractions in the range of 0-30%. The technique was also found to be effective in estimating the total volume percentage of reinforcement and intermetallic compound formed during the processing stage.

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Optimal Network Design for Enhancing the Precision of National Geodetic Network (국가 측지망의 정밀도 향상을 위한 최적 측지망 설계에 관한 연구)

  • Cho, Jae-Myoung;Yun, Hong-Sik;Wie, Gwang-Jae
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.28 no.6
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    • pp.587-594
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    • 2010
  • This paper describe the optimal design of geodetic network by analytical technique based on the quality criteria of network. We described an example of geodetic network design taking into account the precision, reliability and robustness that are the main criteria of network design. The main goal of this paper is to evaluate the criteria to design the geodetic network coinciding with the criteria of high precision(error ellipse, 2DRMS, CEP), reliability(internal and external reliability) and robustness(maximum shear strain, principal strain, dilatation). The network design parameters computed in this study show that precision and reliability has not much improved by about 2% and 3%, respectively, than the observed network, while robustness has much improved by about 3, 100%. It also shown that maximum errors of precision, reliability and robustness were reduced by 5%, 7% and 16,957%, respectively.

Optimized Design of O-ring Groove in LPG Filling Unit Using Taguchi Experimental Method (다구찌 실험법을 이용한 LPG 충전노즐 O-링 그루브의 최적화 설계연구)

  • Kim Chung-Kyun
    • Journal of the Korean Institute of Gas
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    • v.10 no.2 s.31
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    • pp.40-46
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    • 2006
  • In this paper, the optimized design of a rectangular O-ring groove has been analyzed for a maximum Cauchy stress and maximum strain using the Taguchi method. This method may efficiently optimize the design parameters for an O-ring groove of a LPG filling unit. The computed FEM results indicate that the optimized design parameters can only be drawn by nine experimental numbers of iterations when the Taguchi design technique has been employed with a finite element method. This means that the Taguchi design method is very useful for the optimization design of O-ring rectangular groove geometry. Based on the computed FEM results by the Taguchi design technique, the dimensions of a groove geometry are given as h=2.5 mm, d=2.74 mm, c=0.15 mm, and w=3.0 mm. In this study, the initial compression ratio of O-rings is recommended as 8.7% for a gas supply pressure of 18 $kg/cm^2$.

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The Digital Model Generation for the Human Body Measurement (인체 계측을 위한 수치모형생성)

  • 이재기;최석근;임인섭
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.15 no.1
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    • pp.81-89
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    • 1997
  • The size and shape of the human body has been an important factor not only in anthropology but in integration of designs aimed for daily use. Although the three-dimensional measurements have been proposed and obtained introducing new methods, there still remains many problems concerning how to analyze and evaluate the results. In this study, we have got the internal and external orientation factors, image coordinates from the ac-quired photographs, have calaulated the object coordinates through Bundle Adjustment, have matched multi-images. have drawn the object in the computer, and smoothly handled the surface of the body model using the Au-to-CAD system or graphic processing utility then we could generate the digital model of human body. The. results show that once digital modeling of the body is generated. the information which a designer needs can be acquired and the adequate calculations for many application fields can be done easily and many geometrical properties could be extracted. Therefore we propose the possibility of indirect human body measurement through digital model generation.

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Curved Feature Modeling and Accuracy Analysis Using Point Cloud Data (점군집 데이터를 이용한 곡면객체 모델링 및 정확도 분석)

  • Lee, Dae Geon;Yoo, Eun Jin;Lee, Dong-Cheon
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.34 no.3
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    • pp.243-251
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    • 2016
  • LiDAR data processing steps include noise removal, filtering, classification, segmentation, shape recognition, modeling, and quality assessment. This paper focuses on modeling and accuracy evaluation of 3D objects with curved surfaces. The appropriate modeling functions were determined by analyzing surface patch shape. Existing methods for modeling curved surface features require linearization, initial approximation, and iteration of the non-linear functions. However, proposed method could directly estimate the unknown parameters of the modeling functions. The results demonstrate feasibility of the proposed method. The proposed method was applied to the simulated and real building data of hemi-spherical and semi-cylindrical surfaces. The parameters and accuracy of the modeling functions were estimated. It is expected that the proposed method would contribute to automatic modeling of various objects.

The Image-forming Property of Optical System having Gaussian Amplitude for Polychromatic Source (다색 광원에 대한 가우시안 진폭을 갖는 광학계의 결상 특성)

  • Park, Seong Jong;Park, Hae Jong
    • Journal of Korean Ophthalmic Optics Society
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    • v.4 no.2
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    • pp.33-38
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    • 1999
  • To investigate the image-forming property of optical system having Gaussian amplitude for polychromatic source, we calculated the chromaticity variation and the illuminance distribution. Considered polychromatic sources in this paper are A light which is on incandescent-tungsten lamp, C light which is a daylight, and $D_{65}$ light which is a extend daylight to the near ultraviolet. The polychromatic sources represent the different chromaticity values at a geometrical image point. The chromaticity variation of optical system having a Gaussian amplitude is smaller than that having an uniform amplitude. The illuminance distributions for polychromatic sources present nearly the same values, and the depth of focus for optical system having a Gaussian amplitude is wider than that having an uniform amplitude. From these results, we know that the depth of focus increases and the chromaticity variation decreases, when the incident light amplitude is modulated from an uniform amplitude to a Gaussian amplitude.

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Prelinimary Engagement Effect Analysis of Isotropic Kinetic Energy Warhead (등방성 운동에너지 탄두의 교전 효과 예비 분석)

  • Shim, Sang-Wook;Hong, Seong-Min;Seo, Min-Guk;Tahk, Min-Jea
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.5
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    • pp.440-448
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    • 2015
  • Kinetic energy(KE) rod warhead system is a new interceptor which combines advantages of existing ones. This system is less dependant on a precision guidance than direct hit type warhead and gives high penetration rates than blast fragmentation type warhead. In this paper, isotropic KE rod warhead system is introduced with detonation/deployment model. A penetration effects of the deployed rods are calculated using TATE penetration equation. Also, an engagement performance analysis method is suggested. Finally, an optimal detonation time and engagement geometry is derived by Monte-Carlo simulation in various engagement situation using the performance analysis factor.